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1132164 = 223311953
BaseRepresentation
bin100010100011010000100
32010112001000
410110122010
5242212124
640133300
712423525
oct4243204
92115030
101132164
11703680
12467230
13308427
1421684c
151756c9
hex114684

1132164 has 48 divisors (see below), whose sum is σ = 3205440. Its totient is φ = 342720.

The previous prime is 1132141. The next prime is 1132177. The reversal of 1132164 is 4612311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (66780).

21132164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602720).

1132164 is an abundant number, since it is smaller than the sum of its proper divisors (2073276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1132164 is a wasteful number, since it uses less digits than its factorization.

1132164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1132164 is about 1064.0319544074. The cubic root of 1132164 is about 104.2244904201.

Adding to 1132164 its reverse (4612311), we get a palindrome (5744475).

It can be divided in two parts, 1132 and 164, that added together give a 4-th power (1296 = 64).

The spelling of 1132164 in words is "one million, one hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 953 1188 1906 2859 3812 5718 8577 10483 11436 17154 20966 25731 31449 34308 41932 51462 62898 94347 102924 125796 188694 283041 377388 566082 1132164